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Finding the Fourth Proportional to 330.59, 456.29 and 206.34

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Solution

The fourth proportional to 330.59, 456.29 and 206.34 is: 284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.59 : 456.29 = 206.34 : x
  2. Step 2: Convert to fraction form
    330.59/456.29 = 206.34/x
  3. Step 3: Cross multiply
    330.59x = 456.29 × 206.34
  4. Step 4: Simplify right side
    330.59x = 94,150.88
  5. Step 5: Solve for x
    x = 94,150.88/330.59
  6. Step 6: Final answer
    x = 284.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.